Total stability and integral action for discrete-time nonlinear systems

Samuele Zoboli , Daniele Astolfi (1, 2) , Vincent Andrieu

1 CNRS - Centre National de la Recherche Scientifique
2 LAGEPP - Laboratoire d'automatique, de génie des procédés et de génie pharmaceutique

Robustness guarantees are important properties to be looked for during control design. They ensure stability of closed-loop systems in face of uncertainties, unmodeled effects and bounded disturbances. While the theory on robust stability is well established in the continuous-time nonlinear framework, the same cannot be stated for its discrete-time counterpart. In this paper, we propose the discrete-time parallel of total stability results for continuous-time nonlinear system. This enables the analysis of robustness properties via simple model difference in the discrete-time context. First, we study how existence of equilibria for a nominal model transfers to sufficiently similar ones. Then, we provide results on the

Domaines: Systèmes et contrôle [cs.SY]

Samuele Zoboli, Daniele Astolfi, Vincent Andrieu. Total stability and integral action for discrete-time nonlinear systems. Automatica, 2023, 115 (111154). ⟨hal-04179625v1⟩